<PRE><B>Question 140141</B>
Write an equation for each statement:
;
Samantha has a total of one hundred forty-one pennies,nickels and quarters.
p + n + q = 141
:
She has a total of $15.17. 
.01p + .05n + .25q = 15.17
:
She has fifteen more quarters than pennies 
p = q - 15
:
and fifteen fewer quarters than nickels.
n = q + 15
:
how many of each coin does she have?
:
Replace p with (q-15) and n with (q+15); find q
.01(q-15) + .05(q+15) + .25q = 15.17
:
.01q - .15 + .05q + .75 + .25q = 15.17
:
.31q + .60 = 15.17
:
.31q = 15.17 - .60
:
.31q = 14.57
q = {{{14.57/.31}}}
q = 47 quarters.
:
p = 47 - 15 = 32 pennies
and
n = 47 + 15 = 62 nickels
:
:
Check solution by finding the number of coins:
32 + 62 + 47 = 141 coins 

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